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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Expanding Logarithmic Expressions In Exercises 27–36, use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of logarithms. (Assume all variables are positive.) See Example 3.

ln x x 2 + 1 3

To determine

To calculate: The value of the expression ln(xx2+13) as a sum, difference or multiple of logarithms.

Explanation

Given Information:

The provided expression is ln(xx2+13).

Formula used:

The property of logarithms for the expression ln(xy) is ln(xy)=lnx+lny where x and y are real numbers greater than 0.

The property of logarithms for the expression lnxn is lnxn=nlnx where x and y are real numbers greater than 0.

Calculation:

Consider the provided expression, ln(xx2+13)

Apply the property of ln(xy) in the above expression as,

ln(xx2+13)=lnx+ln

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